How do you divide #(4 sqrt(x^12))/(24 sqrtx^12)#?

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Answer 1 · 2016-03-12T19:35:35

1/6

Given:#color(green)(" "(4sqrt(x^12))/(24sqrt(x^12)))#

Write this as:

#color(green)(" "4/24 xxsqrt(x^12)/sqrt(x^12))#

#color(brown)("But "sqrt(x^12)/sqrt(x^12) = 1" giving")#

#color(green)(" "4/24xx1 =4/24)#

By the properties of ratios, what you do to the top (numerator) you do to the bottom (denominator)

Divide top and bottom by 4

#color(green)(" "(4-:4)/(24-:4) = 1/6)#